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Finding the Fourth Proportional to 200,438.40, 300,657.60 and 129,579.60

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Solution

The fourth proportional to 200,438.40, 300,657.60 and 129,579.60 is: 194,369.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,438.40 : 300,657.60 = 129,579.60 : x
  2. Step 2: Convert to fraction form
    200,438.40/300,657.60 = 129,579.60/x
  3. Step 3: Cross multiply
    200,438.40x = 300,657.60 × 129,579.60
  4. Step 4: Simplify right side
    200,438.40x = 38,959,091,544.96
  5. Step 5: Solve for x
    x = 38,959,091,544.96/200,438.40
  6. Step 6: Final answer
    x = 194,369.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.